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Data Analysis and Probability

History of Populations

6-8
The activities at this level focus on studying a series of circle graphs that report the population of the United States and of selected states–Massachusetts, New York, and Pennsylvania–in fifty-year intervals from 1800 to 1950. The students are asked to discuss and describe the information and to explain why the percent of the total population changed for the three states. They are asked to write a justification for their explanation.
Data Analysis and Probability

Averages and The Phantom Tollbooth

6-8
Students participate in activities in which they focus on connections between mathematics and children's literature. Using The Phantom Tollbooth as a literature basis, students explore the concept of averages.
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Number and Operations

Football Finances

6-8
In this activity, students analyze pictures of football stands to make estimates related to the attendance at the Super Bowl. The students will realize that estimates must, at times, be made with little background information and that a range of answers might be correct. Students also make estimates about the television audience.
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Number and Operations

Airport Numbers

6-8
The activities at this level use an airport theme to investigate numbers. Students are encouraged to relate the numbers to familiar situations, for example, to use the dimensions of the classroom to describe an airplane.
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Number and Operations

Birthdays and the Binary System

6-8
This lesson is a collection of three activities, all of which revolve around patterns and place value in the binary system. Grades 5‑8 students are drawn into the mathematics by the "magical" ability to guess an unknown number and by the use of birthdays, something they find very relevant. This lesson plan is adapted from the September 1997 edition of Mathematics Teaching in the Middle School.
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Algebra

Bouncing Tennis Balls

6-8
Students develop their skills in collecting and recording data using the real-world situation of a bouncing tennis ball. They use the data collected to formulate the relationship between the dependent and independent variable in their experiment.
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Algebra

Building Bridges

6-8
In this lesson, students transition from arithmetic to algebraic thinking by exploring problems that are not limited to single-solution responses. Values organized into tables and graphs are used to move toward symbolic representations. Problem situations involving linear, quadratic, and exponential models are employed. This lesson is based upon the article "Building Bridges to Algebraic Thinking" by Roger Day, which appeared in the February 1997 edition of Mathematics Teaching in the Middle School.
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Data Analysis and Probability

The Game of SKUNK

6-8
In this lesson, students practice decision-making skills leading to a better understanding of choice versus chance and building the foundation of mathematical probability. 
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Number and Operations

Grid and Percent It

6-8
In this lesson, students use a 10 × 10 grid as a model for solving various types of percent problems. This model offers a means of representing the given information as well as suggesting different approaches for finding a solution. This lesson is adapted from "A Conceptual Model for Solving Percent Problems," which originally appeared in Mathematics Teaching in the Middle School, Vol. 1, No. 1 (April 1994), pp. 20-25.
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Geometry

Covering the Plane with Rep‑Tiles

6-8
Students discover and explore a special kind of tiling of the plane. Rep‑tiles are geometric figures such that n copies can fit together to form a larger, similar figure. Students experiment with various shapes and values of n. Spatial sense is encouraged by the need to visualize and perform transformations with the shapes involved. This lesson was adapted from an article by Linda Fosnaugh and Marvin Harrell, which appeared in the January‑February 1996 edition of Mathematics Teaching in the Middle School.